Answer:
Step-by-step explanation:
Let 
denotes number of pencils, markers, erasers respectively.
For Andrea:
For Justin:
For Virginia:
On subtracting equations (i) and (ii), we get
Put 
in equation (i)
Put in equation (iii)
Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.
Put 
in equation
Put 
in equation (i)
Answer:
y = 5x + 12
Step-by-step explanation:
Use the formula: y - y1 = m(x - x1)
Plug in all numbers into your equation: y - 7 = 5(x - -1)
Minus with a minus becomes a positive: y - 7 = 5(x + 1)
Distribute: y - 7 = 5x + 5
Add 7 to both sides: +7 +7
Answer: y = 5x + 12
Answer:
-2x² + 4x + 2
Step-by-step explanation:
(1-8x²+3x)+(1+6x²+x)
= 1 - 8x² + 3x + 1 + 6x² + x
= -2x² + 4x + 2 [-2(x² - 2 - 1)]
Answer: 3 or -3
Step-by-step explanation:
4 - |x| = 1
First subtract 4
-|x| = -3
The | | sign makes it both positive and negative
So -|3| and -|-3| will = -3
Answer:
1. The scale factor here is 1.5
2. The scale factor here is 2/3
Step-by-step explanation:
Here, we shall be dealing with scales of triangles.
we have two triangles;
ABC and DEF
longest sides are in the ratio;
12 : 8
1. What scale factor translates DEF to ABC?
The ratio of the length can be beaten down to 3:2
So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC
So the scale factor here is 1.5
2. This is like the other way round of what we have above.
By multiplying the sides of ABC by 2/3, we shall have the sides of DEF
